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[o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Ensaluti</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Paĝoj por elsalutitaj redaktistoj <a href="/wiki/Helpo:Enkonduko" aria-label="Lernu pli pri redaktado"><span>Lernu pli</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Speciala%C4%B5o:Miaj_kontribuoj" title="Listo de redaktoj faritaj el ĉi tiu IPa adreso [y]" accesskey="y"><span>Kontribuoj</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Speciala%C4%B5o:Mia_diskutpa%C4%9Do" title="Diskuto pri redaktoj sub tiu ĉi IP adreso [n]" accesskey="n"><span>Diskuto</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Retejo"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Enhavo" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Enhavo</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">movigi al flanka panelo</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">kaŝi</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Komenco</div> </a> </li> <li id="toc-Kalkulado" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Kalkulado"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Kalkulado</span> </div> </a> <ul id="toc-Kalkulado-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Logaritmaj_tabeloj" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Logaritmaj_tabeloj"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Logaritmaj tabeloj</span> </div> </a> <ul id="toc-Logaritmaj_tabeloj-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Terminoj" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Terminoj"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Terminoj</span> </div> </a> <ul id="toc-Terminoj-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Etimologio" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Etimologio"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Etimologio</span> </div> </a> <ul id="toc-Etimologio-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Kuriozaĵo" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Kuriozaĵo"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Kuriozaĵo</span> </div> </a> <ul id="toc-Kuriozaĵo-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Vidu_ankaŭ" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Vidu_ankaŭ"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Vidu ankaŭ</span> </div> </a> <ul id="toc-Vidu_ankaŭ-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Enhavo" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Ŝaltu la enhavtabelon" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Ŝaltu la enhavtabelon</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Logaritmo</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Iru al artikolo en alia lingvo. Havebla en 109 lingvo" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-109" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">109 lingvoj</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Logaritme" title="Logaritme — afrikansa" lang="af" hreflang="af" data-title="Logaritme" data-language-autonym="Afrikaans" data-language-local-name="afrikansa" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Logarithmus" title="Logarithmus — svisgermana" lang="gsw" hreflang="gsw" data-title="Logarithmus" data-language-autonym="Alemannisch" data-language-local-name="svisgermana" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%88%8E%E1%8C%8B%E1%88%AA%E1%8B%9D%E1%88%9D" title="ሎጋሪዝም — amhara" lang="am" hreflang="am" data-title="ሎጋሪዝም" data-language-autonym="አማርኛ" data-language-local-name="amhara" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Logaritmo" title="Logaritmo — aragona" lang="an" hreflang="an" data-title="Logaritmo" data-language-autonym="Aragonés" data-language-local-name="aragona" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%84%D9%88%D8%BA%D8%A7%D8%B1%D9%8A%D8%AA%D9%85" title="لوغاريتم — araba" lang="ar" hreflang="ar" data-title="لوغاريتم" data-language-autonym="العربية" data-language-local-name="araba" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ary mw-list-item"><a href="https://ary.wikipedia.org/wiki/%D9%84%D9%88%DA%AD%D8%A7%D8%B1%D9%8A%D8%AA%D9%85" title="لوڭاريتم — Moroccan Arabic" lang="ary" hreflang="ary" data-title="لوڭاريتم" data-language-autonym="الدارجة" data-language-local-name="Moroccan Arabic" class="interlanguage-link-target"><span>الدارجة</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%98%E0%A6%BE%E0%A6%A4%E0%A6%BE%E0%A6%82%E0%A6%95" title="ঘাতাংক — asama" lang="as" hreflang="as" data-title="ঘাতাংক" data-language-autonym="অসমীয়া" data-language-local-name="asama" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Logaritmu" title="Logaritmu — asturia" lang="ast" hreflang="ast" data-title="Logaritmu" data-language-autonym="Asturianu" data-language-local-name="asturia" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Loqarifm" title="Loqarifm — azerbajĝana" lang="az" hreflang="az" data-title="Loqarifm" data-language-autonym="Azərbaycanca" data-language-local-name="azerbajĝana" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%9B%D0%BE%D0%B3%D0%B0%D1%80%D0%B8%D1%84%D0%BC" title="Логарифм — baŝkira" lang="ba" hreflang="ba" data-title="Логарифм" data-language-autonym="Башҡортса" data-language-local-name="baŝkira" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bat-smg mw-list-item"><a href="https://bat-smg.wikipedia.org/wiki/Luogar%C4%97tmos" title="Luogarėtmos — Samogitian" lang="sgs" hreflang="sgs" data-title="Luogarėtmos" data-language-autonym="Žemaitėška" data-language-local-name="Samogitian" class="interlanguage-link-target"><span>Žemaitėška</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Logaritmo" title="Logaritmo — Central Bikol" lang="bcl" hreflang="bcl" data-title="Logaritmo" data-language-autonym="Bikol Central" data-language-local-name="Central Bikol" class="interlanguage-link-target"><span>Bikol Central</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9B%D0%B0%D0%B3%D0%B0%D1%80%D1%8B%D1%84%D0%BC" title="Лагарыфм — belorusa" lang="be" hreflang="be" data-title="Лагарыфм" data-language-autonym="Беларуская" data-language-local-name="belorusa" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%9B%D1%8F%D0%B3%D0%B0%D1%80%D1%8B%D1%82%D0%BC" title="Лягарытм — Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Лягарытм" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9B%D0%BE%D0%B3%D0%B0%D1%80%D0%B8%D1%82%D1%8A%D0%BC" title="Логаритъм — bulgara" lang="bg" hreflang="bg" data-title="Логаритъм" data-language-autonym="Български" data-language-local-name="bulgara" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bjn mw-list-item"><a href="https://bjn.wikipedia.org/wiki/Logaritma" title="Logaritma — Banjar" lang="bjn" hreflang="bjn" data-title="Logaritma" data-language-autonym="Banjar" data-language-local-name="Banjar" class="interlanguage-link-target"><span>Banjar</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%B2%E0%A6%97%E0%A6%BE%E0%A6%B0%E0%A6%BF%E0%A6%A6%E0%A6%AE" title="লগারিদম — bengala" lang="bn" hreflang="bn" data-title="লগারিদম" data-language-autonym="বাংলা" data-language-local-name="bengala" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Logaritm" title="Logaritm — bretona" lang="br" hreflang="br" data-title="Logaritm" data-language-autonym="Brezhoneg" data-language-local-name="bretona" class="interlanguage-link-target"><span>Brezhoneg</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Logaritam" title="Logaritam — bosna" lang="bs" hreflang="bs" data-title="Logaritam" data-language-autonym="Bosanski" data-language-local-name="bosna" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-bxr mw-list-item"><a href="https://bxr.wikipedia.org/wiki/%D0%9B%D0%BE%D0%B3%D0%B0%D1%80%D0%B8%D1%84%D0%BC" title="Логарифм — Russia Buriat" lang="bxr" hreflang="bxr" data-title="Логарифм" data-language-autonym="Буряад" data-language-local-name="Russia Buriat" class="interlanguage-link-target"><span>Буряад</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Logaritme" title="Logaritme — kataluna" lang="ca" hreflang="ca" data-title="Logaritme" data-language-autonym="Català" data-language-local-name="kataluna" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%84%DB%86%DA%AF%D8%A7%D8%B1%DB%8C%D8%AA%D9%85" title="لۆگاریتم — sorana" lang="ckb" hreflang="ckb" data-title="لۆگاریتم" data-language-autonym="کوردی" data-language-local-name="sorana" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Logaritmus" title="Logaritmus — ĉeĥa" lang="cs" hreflang="cs" data-title="Logaritmus" data-language-autonym="Čeština" data-language-local-name="ĉeĥa" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9B%D0%BE%D0%B3%D0%B0%D1%80%D0%B8%D1%84%D0%BC" title="Логарифм — ĉuvaŝa" lang="cv" hreflang="cv" data-title="Логарифм" data-language-autonym="Чӑвашла" data-language-local-name="ĉuvaŝa" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Logarithm" title="Logarithm — kimra" lang="cy" hreflang="cy" data-title="Logarithm" data-language-autonym="Cymraeg" data-language-local-name="kimra" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Logaritme" title="Logaritme — dana" lang="da" hreflang="da" data-title="Logaritme" data-language-autonym="Dansk" data-language-local-name="dana" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Logarithmus" title="Logarithmus — germana" lang="de" hreflang="de" data-title="Logarithmus" data-language-autonym="Deutsch" data-language-local-name="germana" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-diq mw-list-item"><a href="https://diq.wikipedia.org/wiki/Logaritma" title="Logaritma — Zazaki" lang="diq" hreflang="diq" data-title="Logaritma" data-language-autonym="Zazaki" data-language-local-name="Zazaki" class="interlanguage-link-target"><span>Zazaki</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9B%CE%BF%CE%B3%CE%AC%CF%81%CE%B9%CE%B8%CE%BC%CE%BF%CF%82" title="Λογάριθμος — greka" lang="el" hreflang="el" data-title="Λογάριθμος" data-language-autonym="Ελληνικά" data-language-local-name="greka" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-eml mw-list-item"><a href="https://eml.wikipedia.org/wiki/Logar%C3%ACtem" title="Logarìtem — Emiliano-Romagnolo" lang="egl" hreflang="egl" data-title="Logarìtem" data-language-autonym="Emiliàn e rumagnòl" data-language-local-name="Emiliano-Romagnolo" class="interlanguage-link-target"><span>Emiliàn e rumagnòl</span></a></li><li class="interlanguage-link interwiki-en badge-Q17437796 badge-featuredarticle mw-list-item" title="elstara artikolo"><a href="https://en.wikipedia.org/wiki/Logarithm" title="Logarithm — angla" lang="en" hreflang="en" data-title="Logarithm" data-language-autonym="English" data-language-local-name="angla" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Logaritmo" title="Logaritmo — hispana" lang="es" hreflang="es" data-title="Logaritmo" data-language-autonym="Español" data-language-local-name="hispana" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Logaritm" title="Logaritm — estona" lang="et" hreflang="et" data-title="Logaritm" data-language-autonym="Eesti" data-language-local-name="estona" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Logaritmo" title="Logaritmo — eŭska" lang="eu" hreflang="eu" data-title="Logaritmo" data-language-autonym="Euskara" data-language-local-name="eŭska" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-ext mw-list-item"><a href="https://ext.wikipedia.org/wiki/Logaritmu" title="Logaritmu — Extremaduran" lang="ext" hreflang="ext" data-title="Logaritmu" data-language-autonym="Estremeñu" data-language-local-name="Extremaduran" class="interlanguage-link-target"><span>Estremeñu</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%84%DA%AF%D8%A7%D8%B1%DB%8C%D8%AA%D9%85" title="لگاریتم — persa" lang="fa" hreflang="fa" data-title="لگاریتم" data-language-autonym="فارسی" data-language-local-name="persa" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Logaritmi" title="Logaritmi — finna" lang="fi" hreflang="fi" data-title="Logaritmi" data-language-autonym="Suomi" data-language-local-name="finna" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fo mw-list-item"><a href="https://fo.wikipedia.org/wiki/Logaritma" title="Logaritma — feroa" lang="fo" hreflang="fo" data-title="Logaritma" data-language-autonym="Føroyskt" data-language-local-name="feroa" class="interlanguage-link-target"><span>Føroyskt</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Logarithme" title="Logarithme — franca" lang="fr" hreflang="fr" data-title="Logarithme" data-language-autonym="Français" data-language-local-name="franca" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Logartam" title="Logartam — irlanda" lang="ga" hreflang="ga" data-title="Logartam" data-language-autonym="Gaeilge" data-language-local-name="irlanda" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E5%B0%8D%E6%95%B8" title="對數 — Gan" lang="gan" hreflang="gan" data-title="對數" data-language-autonym="贛語" data-language-local-name="Gan" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/Logaritm" title="Logaritm — Guianan Creole" lang="gcr" hreflang="gcr" data-title="Logaritm" data-language-autonym="Kriyòl gwiyannen" data-language-local-name="Guianan Creole" class="interlanguage-link-target"><span>Kriyòl gwiyannen</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Logaritmo" title="Logaritmo — galega" lang="gl" hreflang="gl" data-title="Logaritmo" data-language-autonym="Galego" data-language-local-name="galega" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9C%D7%95%D7%92%D7%A8%D7%99%D7%AA%D7%9D" title="לוגריתם — hebrea" lang="he" hreflang="he" data-title="לוגריתם" data-language-autonym="עברית" data-language-local-name="hebrea" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B2%E0%A4%98%E0%A5%81%E0%A4%97%E0%A4%A3%E0%A4%95" title="लघुगणक — hinda" lang="hi" hreflang="hi" data-title="लघुगणक" data-language-autonym="हिन्दी" data-language-local-name="hinda" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hif mw-list-item"><a href="https://hif.wikipedia.org/wiki/Logarithm" title="Logarithm — Fiji Hindi" lang="hif" hreflang="hif" data-title="Logarithm" data-language-autonym="Fiji Hindi" data-language-local-name="Fiji Hindi" class="interlanguage-link-target"><span>Fiji Hindi</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Logaritam" title="Logaritam — kroata" lang="hr" hreflang="hr" data-title="Logaritam" data-language-autonym="Hrvatski" data-language-local-name="kroata" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu badge-Q17437796 badge-featuredarticle mw-list-item" title="elstara artikolo"><a href="https://hu.wikipedia.org/wiki/Logaritmus" title="Logaritmus — hungara" lang="hu" hreflang="hu" data-title="Logaritmus" data-language-autonym="Magyar" data-language-local-name="hungara" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%BC%D5%B8%D5%A3%D5%A1%D6%80%D5%AB%D5%A9%D5%B4" title="Լոգարիթմ — armena" lang="hy" hreflang="hy" data-title="Լոգարիթմ" data-language-autonym="Հայերեն" data-language-local-name="armena" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Logarithmo" title="Logarithmo — Interlingvao" lang="ia" hreflang="ia" data-title="Logarithmo" data-language-autonym="Interlingua" data-language-local-name="Interlingvao" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Logaritma" title="Logaritma — indonezia" lang="id" hreflang="id" data-title="Logaritma" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonezia" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Logaritmo" title="Logaritmo — Ido" lang="io" hreflang="io" data-title="Logaritmo" data-language-autonym="Ido" data-language-local-name="Ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Logri" title="Logri — islanda" lang="is" hreflang="is" data-title="Logri" data-language-autonym="Íslenska" data-language-local-name="islanda" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Logaritmo" title="Logaritmo — itala" lang="it" hreflang="it" data-title="Logaritmo" data-language-autonym="Italiano" data-language-local-name="itala" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%AF%BE%E6%95%B0" title="対数 — japana" lang="ja" hreflang="ja" data-title="対数" data-language-autonym="日本語" data-language-local-name="japana" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Lagaridim" title="Lagaridim — Jamaican Creole English" lang="jam" hreflang="jam" data-title="Lagaridim" data-language-autonym="Patois" data-language-local-name="Jamaican Creole English" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%9A%E1%83%9D%E1%83%92%E1%83%90%E1%83%A0%E1%83%98%E1%83%97%E1%83%9B%E1%83%98" title="ლოგარითმი — kartvela" lang="ka" hreflang="ka" data-title="ლოგარითმი" data-language-autonym="ქართული" data-language-local-name="kartvela" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9B%D0%BE%D0%B3%D0%B0%D1%80%D0%B8%D1%84%D0%BC" title="Логарифм — kazaĥa" lang="kk" hreflang="kk" data-title="Логарифм" data-language-autonym="Қазақша" data-language-local-name="kazaĥa" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%A1%9C%EA%B7%B8_(%EC%88%98%ED%95%99)" title="로그 (수학) — korea" lang="ko" hreflang="ko" data-title="로그 (수학)" data-language-autonym="한국어" data-language-local-name="korea" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Logarithmus" title="Logarithmus — latino" lang="la" hreflang="la" data-title="Logarithmus" data-language-autonym="Latina" data-language-local-name="latino" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lfn mw-list-item"><a href="https://lfn.wikipedia.org/wiki/Logaritmo" title="Logaritmo — Lingua Franca Nova" lang="lfn" hreflang="lfn" data-title="Logaritmo" data-language-autonym="Lingua Franca Nova" data-language-local-name="Lingua Franca Nova" class="interlanguage-link-target"><span>Lingua Franca Nova</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Logaritm" title="Logaritm — Lombard" lang="lmo" hreflang="lmo" data-title="Logaritm" data-language-autonym="Lombard" data-language-local-name="Lombard" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Logaritmas" title="Logaritmas — litova" lang="lt" hreflang="lt" data-title="Logaritmas" data-language-autonym="Lietuvių" data-language-local-name="litova" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Logaritms" title="Logaritms — latva" lang="lv" hreflang="lv" data-title="Logaritms" data-language-autonym="Latviešu" data-language-local-name="latva" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Anisa" title="Anisa — malagasa" lang="mg" hreflang="mg" data-title="Anisa" data-language-autonym="Malagasy" data-language-local-name="malagasa" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-mk badge-Q17437796 badge-featuredarticle mw-list-item" title="elstara artikolo"><a href="https://mk.wikipedia.org/wiki/%D0%9B%D0%BE%D0%B3%D0%B0%D1%80%D0%B8%D1%82%D0%B0%D0%BC" title="Логаритам — makedona" lang="mk" hreflang="mk" data-title="Логаритам" data-language-autonym="Македонски" data-language-local-name="makedona" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%B2%E0%B5%8B%E0%B4%97%E0%B4%B0%E0%B4%BF%E0%B4%A4%E0%B4%82" title="ലോഗരിതം — malajalama" lang="ml" hreflang="ml" data-title="ലോഗരിതം" data-language-autonym="മലയാളം" data-language-local-name="malajalama" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%B2%E0%A5%89%E0%A4%97%E0%A5%85%E0%A4%B0%E0%A4%BF%E0%A4%A6%E0%A4%AE" title="लॉगॅरिदम — marata" lang="mr" hreflang="mr" data-title="लॉगॅरिदम" data-language-autonym="मराठी" data-language-local-name="marata" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Logaritma" title="Logaritma — malaja" lang="ms" hreflang="ms" data-title="Logaritma" data-language-autonym="Bahasa Melayu" data-language-local-name="malaja" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%9C%E1%80%B1%E1%80%AC%E1%80%B7%E1%80%82%E1%80%9B%E1%80%85%E1%80%BA%E1%80%9E%E1%80%99%E1%80%BA" title="လော့ဂရစ်သမ် — birma" lang="my" hreflang="my" data-title="လော့ဂရစ်သမ်" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="birma" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Logarithmus" title="Logarithmus — platgermana" lang="nds" hreflang="nds" data-title="Logarithmus" data-language-autonym="Plattdüütsch" data-language-local-name="platgermana" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Logaritme" title="Logaritme — nederlanda" lang="nl" hreflang="nl" data-title="Logaritme" data-language-autonym="Nederlands" data-language-local-name="nederlanda" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Logaritme" title="Logaritme — novnorvega" lang="nn" hreflang="nn" data-title="Logaritme" data-language-autonym="Norsk nynorsk" data-language-local-name="novnorvega" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Logaritme" title="Logaritme — dannorvega" lang="nb" hreflang="nb" data-title="Logaritme" data-language-autonym="Norsk bokmål" data-language-local-name="dannorvega" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Logaritme" title="Logaritme — okcitana" lang="oc" hreflang="oc" data-title="Logaritme" data-language-autonym="Occitan" data-language-local-name="okcitana" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Loogarizimii" title="Loogarizimii — oroma" lang="om" hreflang="om" data-title="Loogarizimii" data-language-autonym="Oromoo" data-language-local-name="oroma" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%B2%E0%A8%98%E0%A9%82%E0%A8%97%E0%A8%A3%E0%A8%95" title="ਲਘੂਗਣਕ — panĝaba" lang="pa" hreflang="pa" data-title="ਲਘੂਗਣਕ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="panĝaba" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Logarytm" title="Logarytm — pola" lang="pl" hreflang="pl" data-title="Logarytm" data-language-autonym="Polski" data-language-local-name="pola" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D9%84%D8%A7%DA%AF%D8%B1%D8%AA%DA%BE%D9%85" title="لاگرتھم — Western Punjabi" lang="pnb" hreflang="pnb" data-title="لاگرتھم" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-pt badge-Q17437796 badge-featuredarticle mw-list-item" title="elstara artikolo"><a href="https://pt.wikipedia.org/wiki/Logaritmo" title="Logaritmo — portugala" lang="pt" hreflang="pt" data-title="Logaritmo" data-language-autonym="Português" data-language-local-name="portugala" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Logaritm" title="Logaritm — rumana" lang="ro" hreflang="ro" data-title="Logaritm" data-language-autonym="Română" data-language-local-name="rumana" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru badge-Q17437796 badge-featuredarticle mw-list-item" title="elstara artikolo"><a href="https://ru.wikipedia.org/wiki/%D0%9B%D0%BE%D0%B3%D0%B0%D1%80%D0%B8%D1%84%D0%BC" title="Логарифм — rusa" lang="ru" hreflang="ru" data-title="Логарифм" data-language-autonym="Русский" data-language-local-name="rusa" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sah mw-list-item"><a href="https://sah.wikipedia.org/wiki/%D0%9B%D0%BE%D0%B3%D0%B0%D1%80%D0%B8%D1%84%D0%BC" title="Логарифм — jakuta" lang="sah" hreflang="sah" data-title="Логарифм" data-language-autonym="Саха тыла" data-language-local-name="jakuta" class="interlanguage-link-target"><span>Саха тыла</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Logaritmu" title="Logaritmu — sicilia" lang="scn" hreflang="scn" data-title="Logaritmu" data-language-autonym="Sicilianu" data-language-local-name="sicilia" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sh badge-Q70893996 mw-list-item" title=""><a href="https://sh.wikipedia.org/wiki/%D0%9B%D0%BE%D0%B3%D0%B0%D1%80%D0%B8%D1%82%D0%B0%D0%BC" title="Логаритам — serbo-Kroata" lang="sh" hreflang="sh" data-title="Логаритам" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbo-Kroata" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%BD%E0%B6%9D%E0%B7%94_%E0%B6%9C%E0%B6%AB%E0%B6%9A" title="ලඝු ගණක — sinhala" lang="si" hreflang="si" data-title="ලඝු ගණක" data-language-autonym="සිංහල" data-language-local-name="sinhala" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Logarithm" title="Logarithm — Simple English" lang="en-simple" hreflang="en-simple" data-title="Logarithm" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Logaritmus" title="Logaritmus — slovaka" lang="sk" hreflang="sk" data-title="Logaritmus" data-language-autonym="Slovenčina" data-language-local-name="slovaka" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Logaritem" title="Logaritem — slovena" lang="sl" hreflang="sl" data-title="Logaritem" data-language-autonym="Slovenščina" data-language-local-name="slovena" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Daraunene" title="Daraunene — ŝona" lang="sn" hreflang="sn" data-title="Daraunene" data-language-autonym="ChiShona" data-language-local-name="ŝona" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Logaritmet" title="Logaritmet — albana" lang="sq" hreflang="sq" data-title="Logaritmet" data-language-autonym="Shqip" data-language-local-name="albana" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9B%D0%BE%D0%B3%D0%B0%D1%80%D0%B8%D1%82%D0%B0%D0%BC" title="Логаритам — serba" lang="sr" hreflang="sr" data-title="Логаритам" data-language-autonym="Српски / srpski" data-language-local-name="serba" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Logaritm" title="Logaritm — sveda" lang="sv" hreflang="sv" data-title="Logaritm" data-language-autonym="Svenska" data-language-local-name="sveda" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Logi" title="Logi — svahila" lang="sw" hreflang="sw" data-title="Logi" data-language-autonym="Kiswahili" data-language-local-name="svahila" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AE%E0%AE%9F%E0%AE%95%E0%AF%8D%E0%AE%95%E0%AF%88" title="மடக்கை — tamila" lang="ta" hreflang="ta" data-title="மடக்கை" data-language-autonym="தமிழ்" data-language-local-name="tamila" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%A5%E0%B8%AD%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B8%B4%E0%B8%97%E0%B8%B6%E0%B8%A1" title="ลอการิทึม — taja" lang="th" hreflang="th" data-title="ลอการิทึม" data-language-autonym="ไทย" data-language-local-name="taja" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Logaritmo" title="Logaritmo — tagaloga" lang="tl" hreflang="tl" data-title="Logaritmo" data-language-autonym="Tagalog" data-language-local-name="tagaloga" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Logaritma" title="Logaritma — turka" lang="tr" hreflang="tr" data-title="Logaritma" data-language-autonym="Türkçe" data-language-local-name="turka" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%9B%D0%BE%D0%B3%D0%B0%D1%80%D0%B8%D1%84%D0%BC" title="Логарифм — tatara" lang="tt" hreflang="tt" data-title="Логарифм" data-language-autonym="Татарча / tatarça" data-language-local-name="tatara" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9B%D0%BE%D0%B3%D0%B0%D1%80%D0%B8%D1%84%D0%BC" title="Логарифм — ukraina" lang="uk" hreflang="uk" data-title="Логарифм" data-language-autonym="Українська" data-language-local-name="ukraina" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D9%84%D8%A7%DA%AF%D8%B1%D8%AA%DA%BE%D9%85" title="لاگرتھم — urduo" lang="ur" hreflang="ur" data-title="لاگرتھم" data-language-autonym="اردو" data-language-local-name="urduo" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Logarifm" title="Logarifm — uzbeka" lang="uz" hreflang="uz" data-title="Logarifm" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbeka" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi badge-Q17437796 badge-featuredarticle mw-list-item" title="elstara artikolo"><a href="https://vi.wikipedia.org/wiki/Logarit" title="Logarit — vjetnama" lang="vi" hreflang="vi" data-title="Logarit" data-language-autonym="Tiếng Việt" data-language-local-name="vjetnama" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Logaritmo" title="Logaritmo — varaja" lang="war" hreflang="war" 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href="https://www.wikidata.org/wiki/Special:EntityPage/Q11197" title="Ligilo al konektita datuma ero [g]" accesskey="g"><span>Ero en Vikidatumoj</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Paĝaj iloj"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Aspekto"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Aspekto</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">movigi al flanka panelo</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">kaŝi</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">El Vikipedio, la libera enciklopedio</div> </div> <div id="contentSub"><div id="mw-content-subtitle"><div class="cdx-message cdx-message--block cdx-message--warning mw-revision"><span class="cdx-message__icon"></span><div class="cdx-message__content"><div id="mw-revision-info">Revizio de 18:12, 9 sep. 2019 farita de <a href="/wiki/Uzanto:LiMrBot" class="mw-userlink" title="Uzanto:LiMrBot" data-mw-revid="6716002"><bdi>LiMrBot</bdi></a> <span class="mw-usertoollinks">(<a href="/wiki/Uzanto-Diskuto:LiMrBot" class="mw-usertoollinks-talk" title="Uzanto-Diskuto:LiMrBot">diskuto</a> | <a href="/wiki/Speciala%C4%B5o:Kontribuoj/LiMrBot" class="mw-usertoollinks-contribs" title="Specialaĵo:Kontribuoj/LiMrBot">kontribuoj</a>)</span></div><div id="mw-revision-nav">(<a href="/w/index.php?title=Logaritmo&diff=prev&oldid=6716002" title="Logaritmo">malsamoj</a>) <a href="/w/index.php?title=Logaritmo&direction=prev&oldid=6716002" title="Logaritmo">← Antaŭa versio</a> | <a href="/wiki/Logaritmo" title="Logaritmo">Rigardi nunan version</a> (<a href="/w/index.php?title=Logaritmo&diff=cur&oldid=6716002" title="Logaritmo">malsamoj</a>) | <a href="/w/index.php?title=Logaritmo&direction=next&oldid=6716002" title="Logaritmo">Sekva versio →</a> (<a href="/w/index.php?title=Logaritmo&diff=next&oldid=6716002" title="Logaritmo">malsamoj</a>)</div></div></div></div></div> <div id="mw-content-text" class="mw-body-content"><div id="mw-fr-revision-tag-old" class="cdx-message mw-fr-message-box cdx-message--block cdx-message--notice flaggedrevs_notice plainlinks noprint"><span class="cdx-message__icon"></span><div class="cdx-message__content"><a class="external text" href="https://eo.wikipedia.org/w/index.php?title=Logaritmo&stableid=6716002">Reviziita versio</a> de ĉi tiu paĝo, <a class="external text" href="https://eo.wikipedia.org/w/index.php?title=Speciala%C4%B5o:Log&type=review&page=Logaritmo">aprobita</a> je <i>9 sep. 2019</i>, estis bazita sur ĉi tiu versio.</div></div><div class="mw-content-ltr mw-parser-output" lang="eo" dir="ltr"><table style="float:right; margin-left:1em; background: #f9f9f9; border: 1px #aaaaaa solid; max-width:300px; text-align:center; padding:1em;"> <tbody><tr> <th style="background-color:#cdc;"><a href="/wiki/Funkcio_(matematiko)" title="Funkcio (matematiko)">Matematikaj funkcioj</a> </th></tr> <tr> <td>Aroj: <a href="/wiki/Fonta_aro" title="Fonta aro">fonta aro</a>, <a href="/wiki/Argumentaro" title="Argumentaro">argumentaro</a>, <a href="/wiki/Bildaro" title="Bildaro">bildaro</a>, <a href="/wiki/Cela_aro" title="Cela aro">cela aro</a> (<a href="/wiki/Fonta_aro,_argumentaro,_bildaro,_cela_aro" title="Fonta aro, argumentaro, bildaro, cela aro">suma klarigo</a>) • <a href="/wiki/Malbildo" title="Malbildo">malbildo</a> </td></tr> <tr> <th style="background-color:#ded;">Fundamentaj funkcioj </th></tr> <tr> <td><b><a href="/wiki/Algebra_funkcio" title="Algebra funkcio">Algebraj funkcioj</a></b>: <br /> <a href="/wiki/Konstanta_funkcio" title="Konstanta funkcio">konstanta</a> • <a href="/wiki/Lineara_funkcio" title="Lineara funkcio">lineara</a> • <a href="/wiki/Kvadrata_funkcio" title="Kvadrata funkcio">kvadrata</a> • <a href="/wiki/Polinomo" title="Polinomo">polinoma</a> • <a href="/wiki/Racionala_funkcio" title="Racionala funkcio">racionala</a> • <a href="/wiki/Transformo_de_M%C3%B6bius" title="Transformo de Möbius">Transformo de Möbius</a> <hr /> <b>Aliaj funkcioj</b>: <br /><a href="/wiki/Trigonometria_funkcio" title="Trigonometria funkcio">trigonometriaj</a> • <a href="/wiki/Inversa_trigonometria_funkcio" title="Inversa trigonometria funkcio">inversa trigonometria</a> • <a href="/wiki/Hiperbola_funkcio" title="Hiperbola funkcio">hiperbola</a> • <a href="/wiki/Eksponenta_funkcio" title="Eksponenta funkcio">eksponenta</a> • <a href="/wiki/Logaritma_funkcio" class="mw-redirect" title="Logaritma funkcio">logaritma</a> • <a href="/wiki/Potenca_funkcio" class="mw-redirect" title="Potenca funkcio">potenca</a> </td></tr> <tr> <th style="background-color:#ded;"><a href="/wiki/Specialaj_funkcioj" class="mw-redirect" title="Specialaj funkcioj">Specialaj funkcioj</a> </th></tr> <tr> <td><a href="/wiki/Funkcio_de_eraro" title="Funkcio de eraro">erara</a> • <a href="/wiki/Beta-funkcio" title="Beta-funkcio">β</a> • <a href="/wiki/%CE%93-funkcio" title="Γ-funkcio">Γ</a> • <a href="/wiki/Rimana_%CE%B6_funkcio" title="Rimana ζ funkcio">ζ</a> • <a href="/wiki/Funkcio_%CE%B7" title="Funkcio η">η</a> • <a href="/w/index.php?title=Funkcio_W_de_Lambert&action=edit&redlink=1" class="new" title="Funkcio W de Lambert (paĝo ne ekzistas)">W de Lambert</a> • <a href="/wiki/Funkcio_de_Bessel" title="Funkcio de Bessel">de Bessel</a> </td></tr> <tr> <th style="background-color:#ded;"><a href="/wiki/Nombroteorio" title="Nombroteorio">Nombroteoriaj</a> funkcioj: </th></tr> <tr> <td><a href="/wiki/Funkcio_%CF%84" title="Funkcio τ">τ</a> • <a href="/wiki/Divizora_funkcio" title="Divizora funkcio">σ</a> • <a href="/wiki/Funkcio_de_M%C3%B6bius" title="Funkcio de Möbius">de Möbius</a> • <a href="/wiki/Funkcio_%CF%86" title="Funkcio φ">φ</a> • <a href="/wiki/Primo-kalkulanta_funkcio" title="Primo-kalkulanta funkcio">π</a> • <a href="/wiki/Funkcio_%CE%BB" title="Funkcio λ">λ</a> </td></tr> <tr> <th style="background-color:#ded;">Ecoj: </th></tr> <tr> <td><a href="/wiki/%C4%88ie_difinita_funkcio" title="Ĉie difinita funkcio">totaleco</a> kaj <a href="/wiki/Parta_funkcio" title="Parta funkcio">parteco</a> • <a href="/wiki/Pareco_de_funkcioj" title="Pareco de funkcioj">pareco kaj malpareco</a> • <a href="/wiki/Monotona_funkcio" title="Monotona funkcio">monotoneco</a> • <a href="/wiki/Barita_funkcio" title="Barita funkcio">bariteco</a> • <a href="/wiki/Perioda_funkcio" title="Perioda funkcio">periodeco</a> • <a href="/wiki/Dis%C4%B5eto" title="Disĵeto">disĵeteco</a> • <a href="/wiki/Sur%C4%B5eto" title="Surĵeto">surĵeteco</a> • <a href="/wiki/Dissur%C4%B5eto" title="Dissurĵeto">dissurĵeteco</a> <hr /> <a href="/wiki/Kontinua_funkcio" title="Kontinua funkcio">kontinueco</a> • <a href="/wiki/Deriva%C4%B5o_(matematiko)" title="Derivaĵo (matematiko)">derivaĵeco</a> • <a href="/wiki/Integralebla_funkcio" title="Integralebla funkcio">integralebleco</a> </td></tr></tbody></table> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Dosiero:Logarithms.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e0/Logarithms.png/260px-Logarithms.png" decoding="async" width="260" height="182" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/e/e0/Logarithms.png 1.5x" data-file-width="364" data-file-height="255" /></a><figcaption>Logaritmoj de diversaj bazoj:<br /><span style="color:red"><b>XXXX</b></span> ruĝa estas de bazo <a href="/wiki/E_(matematiko)" title="E (matematiko)"><i>e</i></a>,<br /><span style="color:green"><b>XXXX</b></span> verda estas de bazo 10,<br /><span style="color:purple"><b>XXXX</b></span> purpura estas de bazo 1.7.</figcaption></figure> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Dosiero:Log.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e0/Log.png/260px-Log.png" decoding="async" width="260" height="235" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e0/Log.png/390px-Log.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e0/Log.png/520px-Log.png 2x" data-file-width="650" data-file-height="587" /></a><figcaption>Logaritmoj de diversaj bazoj:<br /><span style="color:#ffff00"><b>XXXX</b></span> flava estas de bazo 2,<br /><span style="color:red"><b>XXXX</b></span> ruĝa estas de bazo <a href="/wiki/E_(matematiko)" title="E (matematiko)"><i>e</i></a>,<br /><span style="color:#0000ff"><b>XXXX</b></span> blua estas de bazo 1/2.<br />Vd la simetrion inter la flava kaj la blua kurboj.</figcaption></figure> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Dosiero:Ln_re.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4b/Ln_re.png/260px-Ln_re.png" decoding="async" width="260" height="173" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4b/Ln_re.png/390px-Ln_re.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4b/Ln_re.png/520px-Ln_re.png 2x" data-file-width="709" data-file-height="473" /></a><figcaption>Re(ln(z)) de <a href="/wiki/Kompleksa_nombro" title="Kompleksa nombro">kompleksa nombro </a><i>z</i></figcaption></figure> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Dosiero:Ln_im.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/38/Ln_im.png/260px-Ln_im.png" decoding="async" width="260" height="173" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/38/Ln_im.png/390px-Ln_im.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/38/Ln_im.png/520px-Ln_im.png 2x" data-file-width="709" data-file-height="473" /></a><figcaption>Im(ln(z)) de kompleksa nombro <i>z</i></figcaption></figure> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Dosiero:Ln_abs.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c3/Ln_abs.png/260px-Ln_abs.png" decoding="async" width="260" height="173" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c3/Ln_abs.png/390px-Ln_abs.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c3/Ln_abs.png/520px-Ln_abs.png 2x" data-file-width="709" data-file-height="473" /></a><figcaption>|ln(z)| de kompleksa nombro <i>z</i></figcaption></figure> <p>La <b>logaritmo</b> aŭ <b>logaritma funkcio</b> de iu nombro <i>y</i> je iu bazo <i>a</i> estas tiu nombro <i>x</i>, por kiu validas </p> <center> <p><i>a</i><sup><i>x</i></sup> = <i>y</i> </p> </center> <p>Logaritmo kun bazo <i>a</i> estas la inversa funkcio de eksponenta funkcio kun la sama bazo <i>y</i> = <i>a</i><sup><i>x</i></sup> kiel funkcio de <i>x</i>. Se la potenciga funkcio estas konsiderata kiel funkcio de <i>a</i>, ĝia inverso estas la <i>x</i>-a radiko. </p><p>Oni notas la logaritman funkcion de <i>y</i> je bazo <i>a</i> per la simbolo "<b>log<sub><i>a</i></sub></b> <i>y</i>" = <i>x</i>; ĝi estas diinita por ĉiuj pozitivaj variabloj (<i>y</i> ĉitie). </p><p>La logaritmaj funkcioj je diversaj bazoj <i>a</i> kaj <i>b</i> diferencas je konstanta faktoro, kiu egalas al log<sub><i>a</i></sub><i>b</i> = 1/log<sub><i>b</i></sub><i>a</i>; ekzemple: </p> <center>log<sub><i>a</i></sub><i>x</i> = (1/log<sub><i>b</i></sub><i>a</i>). log<sub><i>b</i></sub><i>x</i></center> <p>La <b>natura logaritmo</b> estas la logaritmo kun bazo <a href="/wiki/E_(matematiko)" title="E (matematiko)"><i>e</i></a>, skribita kiel "<b>ln</b> <i>y</i>". </p><p>La natura logaritmo estas la <a href="/w/index.php?title=Inversa_funkcio&action=edit&redlink=1" class="new" title="Inversa funkcio (paĝo ne ekzistas)">inversa funkcio</a> (alinomita <i>reciproka funkcio</i>) de <a href="/wiki/Eksponenta_funkcio" title="Eksponenta funkcio">eksponenta funkcio</a>, t.e. <i>x</i> = ln(<i>e</i><sup><i>x</i></sup>). </p><p>La <b>dekuma logaritmo</b> (aŭ <b>dekbaza logaritmo</b>) estas la logaritmo kun bazo <i>10</i>, skribita kiel "<b>lg</b> <i>y</i>". </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Kalkulado">Kalkulado</h2></div> <p>En la historio de <a href="/wiki/Matematiko" title="Matematiko">matematiko</a> logaritmoj havis grandan signifon, ĉar multipliko de nombro egalas al adicio de iliaj logaritmoj, kaj adicio estas multe pli facile kaj rapide farebla ol multipliko (sen poŝkalkulilo). Tial iam ĉiu matematikisto kaj inĝeniero posedis libron kun tabeloj de logaritmoj (je bazo <i>10</i>, kvar- aŭ kvin-ciferaj), per kiuj li povis multipliki pli rapide. Sur la sama principo baziĝas la <a href="/wiki/Glitkalkulilo" title="Glitkalkulilo">glitkalkulilo</a>, kiu havas logaritmajn skalojn, kiuj estas (fizike, per apudmeto) adiciataj. </p> <div class="mw-heading mw-heading2"><h2 id="Logaritmaj_tabeloj">Logaritmaj tabeloj</h2></div> <p>Kiam elektronikaj kalkuliloj ne ekzistis, la plej rapida maniero trovi (dekumajn) logaritmojn estis konsulti tabel-libron. La matematikisto <a href="/w/index.php?title=Henry_Briggs&action=edit&redlink=1" class="new" title="Henry Briggs (paĝo ne ekzistas)">Henry Briggs</a> en <a href="/wiki/1617" title="1617">1617</a> publikigis la unuan tian tabelon, kiu enhavis 14-poziciajn logaritmojn de ĉiuj entjeroj ĝis 20.000 kaj de 90.000 al 100.000. La nederlandano <i>Adrian VLACQ</i> en <a href="/wiki/1628" title="1628">1628</a> komplementis la intervalon de 20.000 al 90.000 (kun 10 pozicioj). </p><p>14 pozicioj estas tre multaj, sed ili ne estis vere utiligeblaj en la praktiko, ĉar la logaritmojn de nombroj inter la listigitaj oni devis <a href="/w/index.php?title=Polado&action=edit&redlink=1" class="new" title="Polado (paĝo ne ekzistas)">poli</a>, kaj tio perdigis multon el la mirinda 14-pozicia precizeco. </p><p>Ĉar la logaritmoj de iu nombro kaj de ĝia dekoblo diferencas ekzakte je 1, ne necesas listigi ĉiujn nombrojn ek de 1; sufiĉas ajna intervalo inter iu nombro kaj ĝia dekoblo. Nunaj logaritmaj tabeloj kutime uzas la intervalon inter 0,1 kaj 1,0. </p> <div class="mw-heading mw-heading2"><h2 id="Terminoj">Terminoj</h2></div> <p>Ĉe uzo de logaritma tabelo por multipliko oni distingas inter la <a href="/wiki/Entjero" title="Entjero">entjera</a> kaj la <a href="/wiki/Frakcio" class="mw-disambig" title="Frakcio">frakcia</a> partoj de la logaritmo. La entjera parto, kiu respondas al potencoj de 10 (do al la pozicio de la komo), nomiĝas <b>karakteristiko</b>, la frakcia parto <b>mantiso</b>. </p><p>La karakteristiko estas do tio, kion en komputa matematiko oni nomas <a href="/wiki/Eksponento" class="mw-disambig" title="Eksponento">eksponento</a>, dum ke la mantiso estas la logaritmo de tio, kion la komputa matematiko nomas <a href="/w/index.php?title=Signifika%C4%B5o&action=edit&redlink=1" class="new" title="Signifikaĵo (paĝo ne ekzistas)">signifikaĵo</a>. </p><p>La dekumaj logaritmoj (logaritmoj je bazo <i>10</i>) estas nomataj laŭ la menciita <i>Henry Briggs</i> kiel "logaritmoj de Briggs". Logaritmoj je la bazo <i>e</i> nomiĝas "logaritmoj de <a href="/wiki/Leonhard_Euler" title="Leonhard Euler">Euler</a>" (ĉar <i>e</i> estas ankaŭ nomata "<a href="/wiki/Nombro_de_Euler" class="mw-redirect" title="Nombro de Euler">nombro de Euler</a>") aŭ "naturaj logaritmoj", mallonge "ln" (<a href="/wiki/Latino" class="mw-redirect" title="Latino">latine</a> <i><span class="lang-la" lang="la">logarithmus naturalis</span></i>). En <a href="/wiki/Komputiko" class="mw-redirect" title="Komputiko">komputiko</a> gravas la "duumaj logaritmoj" (je bazo <i>2</i>) kaj foje la "dek-ses-umaj logaritmoj" (je bazo <i>16</i>). </p> <div class="mw-heading mw-heading2"><h2 id="Etimologio">Etimologio</h2></div> <p>La vorto logaritmo devenas el la <a href="/wiki/Helena_lingvo" class="mw-redirect" title="Helena lingvo">helena lingvo</a>, en kiu <i>arithmos</i> (αριθμoς) signifas "nombro" kaj <i>logos</i> (λoγoς) havas multegajn signifojn, inter ili "rilato". </p> <div class="mw-heading mw-heading2"><h2 id="Kuriozaĵo"><span id="Kurioza.C4.B5o"></span>Kuriozaĵo</h2></div> <p>La simbolo de la logaritmo, la tri literoj "log", havas propran <a href="/wiki/Unikodo" title="Unikodo">unikodan</a> signon kun la numero 13266 (㏒). </p> <div class="mw-heading mw-heading2"><h2 id="Vidu_ankaŭ"><span id="Vidu_anka.C5.AD"></span>Vidu ankaŭ</h2></div> <div class="noprint" id="aliaj_projektoj" style="float: right; clear: right; width: 250px; border: 1px solid #aaa; padding: 4px; font-size: 90%; background: #f9f9f9;"> <ul class="noarchive"><li class="commons"><span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Logarithm?uselang=eo">Logaritmo en la <span>Vikimedia Komunejo</span></a> (Multrimedaj datumoj)</span></li><li class="commons"><span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Logarithm?uselang=eo">Kategorio Logaritmo en la <span>Vikimedia Komunejo</span></a> (Multrimedaj datumoj)</span> </li></ul> </div> <ul><li><a href="/wiki/Diskreta_logaritmo" title="Diskreta logaritmo">Diskreta logaritmo</a></li> <li><a href="/wiki/Logaritma_integrala_funkcio" title="Logaritma integrala funkcio">Logaritma integrala funkcio</a></li> <li><a href="/wiki/Inversaj_hiperbolaj_funkcioj" class="mw-redirect" title="Inversaj hiperbolaj funkcioj">Inversaj hiperbolaj funkcioj</a> estas difinitaj en la kompleksa ebeno per esprimoj kun logaritmoj</li> <li><a href="/wiki/Jost_B%C3%BCrgi" title="Jost Bürgi">Jost Bürgi</a></li> <li><a href="/wiki/John_Napier" title="John Napier">John Napier</a></li></ul> <div style="position:absolute; 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